M. Khristoforov

activity

20112023

most citedAsymptotics of the determinant of discrete Laplacians on triangulated and quadrangulated surfaces

9 citations · 14 across the 5 of their papers we have counts for

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3 papers · 1 filter

math.PR2023

A generalization of Cardy's and Schramm's formulae

Mikhail Khristoforov, Mikhail Skopenkov, Stanislav Smirnov

We study critical site percolation on the triangular lattice. We find the difference of the probabilities of having a percolation interface to the right and to the left of two give…

math.PR2021★ 1 cited

Percolation and $O (1)$ loop model

Mikhail Khristoforov, Stanislav Smirnov

We present an "ultimate" proof of Cardy's formula for the critical percolation on the hexagonal lattice \cite{Smirnov01criticalpercolation}, showing the existence of the universal…

math.PR2013

Stationary random metrics on hierarchical graphs via $(min, +)$ -type recursive distributional equations

Mikhail Khristoforov, Victor Kleptsyn, Michele Triestino

This paper is inspired by the problem of understanding in a mathematical sense the Liouville quantum gravity on surfaces. Here we show how to define a stationary random metric on s…

A generalization of Cardy's and Schramm's formulae

Percolation and O(1) loop model

Stationary random metrics on hierarchical graphs via (min,+)-type recursive distributional equations

Percolation and $O (1)$ loop model

Stationary random metrics on hierarchical graphs via $(min, +)$ -type recursive distributional equations